Invariance principle for the random conductance model
We study a continuous time random walk X in an environment of i.i.d. random conductances μe∈ [0,∞) in ℤd. We assume that ℙ(μe > 0) > pc, so that the bonds with strictly positive conductances percolate, but make no other assumptions on the law of the μ e. We prove a quenched invariance...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2013
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| Summary: | We study a continuous time random walk X in an environment of i.i.d. random conductances μe∈ [0,∞) in ℤd. We assume that ℙ(μe > 0) > pc, so that the bonds with strictly positive conductances percolate, but make no other assumptions on the law of the μ e. We prove a quenched invariance principle for X, and obtain Green's functions bounds and an elliptic Harnack inequality. © 2012 Springer-Verlag. |
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